Hinged Dissection of a "Rhombic" Solid to the Truncated Icosidodecahedron

Izidor Hafner

For the truncated icosidodecahedron we construct its best ?rhombic approximate? and show that there is a hinged dissection of one to another. By rhombic solid we mean a polyhedron that consists of prolate and oblate golden rhombohedra. In the solution we also use halves of rhombic dodecahedron of the second kind, which in turn consists of two halves of the rhombohedra.